Theory and design of two-channel complex linear-phase pseudo-orthogonal filterbanks

Seisuke Kyochi, Yuichi Tanaka, Masaaki Ikehara

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    1 Citation (Scopus)

    Abstract

    In recent years, two-channel complex-valued filterbanks have been studied and found theirs several important applications by many reseachers, such as complex signal and image processing. One of those important results is that there is no two-channel complex-valued linear-phase paraunitary filterbank (CLPPUFB), except for its filter lengths of 2. In this paper, we introduce a class of special complex-valued filterbanks which is a subclass of biorthogonal filterbanks: Those filterbanks are called complex pseudo-orthogonal filterbanks (CPOFB), based on the concept of pseudo-orthogonality (PO). This kind of orthogonality, we propose, is different from the conventional one essentially. This paper also shows possibility to design a two-channel complex linear-phase filterbank (CLPFB) with its filter lengths are more than 2, based on PO. Finally, we show a design example of a complex linear-phase pseudo-orthogonal filterbank (CLPPOFB). Moreover, such CPOFB can satisfy the linear-phase condition simultaneously with filter lengths are more than 2. This paper shows a theory, a design method and an example of CLPPOFB.

    Original languageEnglish
    Title of host publication2006 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedings
    PagesIII245-III248
    Publication statusPublished - 2006 Dec 1
    Event2006 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2006 - Toulouse, France
    Duration: 2006 May 142006 May 19

    Publication series

    NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
    Volume3
    ISSN (Print)1520-6149

    Other

    Other2006 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2006
    CountryFrance
    CityToulouse
    Period06/5/1406/5/19

    ASJC Scopus subject areas

    • Software
    • Signal Processing
    • Electrical and Electronic Engineering

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  • Cite this

    Kyochi, S., Tanaka, Y., & Ikehara, M. (2006). Theory and design of two-channel complex linear-phase pseudo-orthogonal filterbanks. In 2006 IEEE International Conference on Acoustics, Speech, and Signal Processing - Proceedings (pp. III245-III248). [1660636] (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 3).